How do you solve #-\frac { a } { 8.06} + 7.02= 18.4#?

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Answer 1 · 2016-12-25T13:33:33

#a = -91.7228#

First, subtract #color(red)(7.02)# from each side of the equation to isolate the #a# term and keep the equation balanced:

#-a/8.06 + 7.02 - color(red)(7.02) = 18.4 - color(red)(7.02)#

#-a/8.06 + 0 = 11.38#

#-a/8.06 = 11.38#

Now we can solve for #a# by multiplying each side of the equation by #color(blue)(-8.06)# which will also keep the equation balanced:

#-a/8.06 xx color(blue)(-8.06) = 11.38 xx color(blue)(-8.06)#

#a/color(blue)(cancel(color(black)((-8.06)))) xx cancel(color(blue)(-8.06)) = -91.7228#

#a = -91.7228#